Q1
Identify the slope and y-intercept of the line x+2y=−2.
Q2
Choose the most convenient method to graph the line x−y=5.
Ans:
Recognize the equation as that of a vertical line passing through the x-axis at 5.
Recognize the equation as that of a horizontal line passing through the y-axis at 5.
Identify the slope and y-intercept, and then graph.
Find the x- and y-intercepts and then graph.
Q3
Patel’s weekly salary includes a base pay plus commission on his sales. The equation S=750+0.09c models the relation between his weekly salary, S, in dollars and the amount of his sales, c, in dollars. Interpret the slope of the equation.
Ans:
The slope, 0.09 means that Patel’s weekly salary increases by 0.09 of a dollar for each 0.09 of a dollar in sales.
The slope, 750 means that Patel’s weekly salary increases by 750 dollars for each dollar in sales.
The slope, 0.09 means that Patel’s weekly salary increases by 0.09 of a dollar for each dollar in sales.
The slope, 750 means that Patel’s weekly salary increases by 750 dollars for each 750 dollars in sales.
Q4
Janelle is planning to rent a car while on vacation. The equation C=0.32m+15 models the relation between the cost in dollars, C, per day and the number of miles, m, she drives in one day. Interpret the C-intercept of the equation.
Ans:
The C-intercept, 0.32, means that if Janelle drove 0.32 of a mile on a particular day it would cost her 0.32 of a dollar to rent the car for that day.
The C-intercept, 15, means that if Janelle drove 15 miles on a particular day it would cost her 15 dollars to rent the car for that day.
The C-intercept, 0.32, means that if Janelle drove 0 miles on a particular day it would cost her 0.32 of a dollar to rent the car for that day.
The C-intercept, 15, means that if Janelle drove 0 miles on a particular day it would cost her 15 dollars to rent the car for that day.
Q5
Graph the line of the equation 8x/5−2y=−8 using its slope and y-intercept.
Ans:
Q6
Identify the slope and y-intercept of the line 4x+5y=−30.
Q7
Graph the line of the equation y=−5x/6−2 using its slope and y-intercept.
Q8
Choose the most convenient method to graph the line y=−5x+2.
Ans:
Recognize the equation as that of a vertical line passing through the x-axis at 2.
Recognize the equation as that of a horizontal line passing through the y-axis at 2.
Identify the slope and y-intercept, and then graph.
Find the x- and y-intercepts and then graph.
Q9
Identify the slope and y-intercept of the line x+3y=−18.
Q10
Identify the slope and y-intercept of the line −2x+5y=−30.
Q11
Graph the line of the equation x−2y=6 using its slope and y-intercept.
Ans:
Q12
Graph the line of the equation 3x+2y=−2 using its slope and y-intercept.
Ans:
Q13
Which two of the following are appropriate methods to graph the line x+4y=8.
Ans:
Recognize the equation as that of a vertical line passing through the x-axis at 8.
Recognize the equation as that of a horizontal line passing through the y-axis at 8.
Identify the slope and y-intercept, and then graph.
Find the x- and y-intercepts and then graph.
Q14
Choose the most convenient method to graph the line 3x−2y=−12.
Ans:
Recognize the equation as that of a vertical line passing through the x-axis at 8.
Recognize the equation as that of a horizontal line passing through the y-axis at 8.
Identify the slope and y-intercept, and then graph.
Find the x- and y-intercepts and then graph.
Q16
Determine the most convenient method to graph the following line.
3x+2y=12
Ans:
vertical line
horizontal line
intercepts
slope-intercept
Q17
Choose the most convenient method to graph the line x−y=1.
Ans:
Recognize the equation as that of a vertical line passing through the x-axis at 1.
Recognize the equation as that of a horizontal line passing through the y-axis at 1.
Identify the slope and y-intercept, and then graph.
Find the x- and y-intercepts and then graph.
Q18
Based on the form of the equation, what is the best way to graph the line 3x+3y=15?
Ans:
Recognize the equation as that of a vertical line passing through the x-axis at 15.
Recognize the equation as that of a horizontal line passing through the y-axis at 15.
Identify the slope and y-intercept, and then graph.
Find the x- and y-intercepts, and then graph.
Q19
Costa is planning a lunch banquet. The equation C=450+28g models the relation between the cost in dollars, C, of the banquet and the number of guests, g. Interpret the C-intercept of the equation.
Ans:
The C-intercept, 28, is the amount in dollars the banquet would cost if there were no guests.
The C-intercept, 450, is the amount in dollars the banquet would cost if there were no guests.
The C-intercept, 28, is the amount in dollars the banquet would cost if there were 28 guests.
The C-intercept, 450, is the amount in dollars the banquet would cost if there were 28 guests.
Q20
Margie is planning a dinner banquet. The equation C=750+42g models the relation between the cost in dollars, C, of the banquet and the number of guests, g. Interpret the slope of the equation.
Ans:
The slope, 42, means that for each additional 42 guests the cost of the banquet increases by 750 dollars.
The slope, 750, means that for each additional 42 guests the cost of the banquet increases by 750 dollars.
The slope, 42, means that for each additional guest the cost of the banquet increases by 42 dollars.
The slope, 750, means that for each additional 750 guests the cost of the banquet increases by 750 dollars.
Solution
Q1
Identify the slope and y-intercept of the line x+2y=−2.
Ans: slope is m=−(1/2) and the y-intercept is (0,−1).
Q2
Choose the most convenient method to graph the line x−y=5.
Ans:
Recognize the equation as that of a vertical line passing through the x-axis at 5.
Recognize the equation as that of a horizontal line passing through the y-axis at 5.
Identify the slope and y-intercept, and then graph.
Find the x– and y-intercepts and then graph.
Q3
Patel’s weekly salary includes a base pay plus commission on his sales. The equation S=750+0.09c models the relation between his weekly salary, S, in dollars and the amount of his sales, c, in dollars. Interpret the slope of the equation.
Ans:
The slope, 0.09 means that Patel’s weekly salary increases by 0.09 of a dollar for each 0.09 of a dollar in sales.
The slope, 750 means that Patel’s weekly salary increases by 750 dollars for each dollar in sales.
The slope, 0.09 means that Patel’s weekly salary increases by 0.09 of a dollar for each dollar in sales.
The slope, 750 means that Patel’s weekly salary increases by 750 dollars for each 750 dollars in sales.
Q4
Janelle is planning to rent a car while on vacation. The equation C=0.32m+15 models the relation between the cost in dollars, C, per day and the number of miles, m, she drives in one day. Interpret the C-intercept of the equation.
Ans:
The C-intercept, 0.32, means that if Janelle drove 0.32 of a mile on a particular day it would cost her 0.32 of a dollar to rent the car for that day.
The C-intercept, 15, means that if Janelle drove 15 miles on a particular day it would cost her 15 dollars to rent the car for that day.
The C-intercept, 0.32, means that if Janelle drove 0 miles on a particular day it would cost her 0.32 of a dollar to rent the car for that day.
The C-intercept, 15, means that if Janelle drove 0 miles on a particular day it would cost her 15 dollars to rent the car for that day……………please follow the link below to purchase all the solutions at just $10
